72697640625 has 63 divisors (see below), whose sum is σ = 131440758943. Its totient is φ = 38718150000.

The previous prime is 72697640599. The next prime is 72697640627. The reversal of 72697640625 is 52604679627.

The square root of 72697640625 is 269625.

It is a perfect power (a square), and thus also a powerful number.

72697640625 is a `hidden beast` number, since 7 + 2 + 6 + 9 + 7 + 6 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 63690112161 + 9007528464 = 252369^2 + 94908^2 .

It is not a de Polignac number, because 72697640625 - 2⁵ = 72697640593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72697640627) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 101109016 + ... + 101109734.

Almost surely, 2^72697640625 is an apocalyptic number.

72697640625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72697640625 is the 269625-th square number.

72697640625 is the 134813-rd centered octagonal number.

It is an amenable number.

72697640625 is a deficient number, since it is larger than the sum of its proper divisors (58743118318).

72697640625 is an frugal number, since it uses more digits than its factorization.

72697640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 72697640625 in words is "seventy-two billion, six hundred ninety-seven million, six hundred forty thousand, six hundred twenty-five".